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Finding the Fourth Proportional to 3,605.44, 5,404.02 and 1,653.54

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Solution

The fourth proportional to 3,605.44, 5,404.02 and 1,653.54 is: 2,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.44 : 5,404.02 = 1,653.54 : x
  2. Step 2: Convert to fraction form
    3,605.44/5,404.02 = 1,653.54/x
  3. Step 3: Cross multiply
    3,605.44x = 5,404.02 × 1,653.54
  4. Step 4: Simplify right side
    3,605.44x = 8,935,751.96
  5. Step 5: Solve for x
    x = 8,935,751.96/3,605.44
  6. Step 6: Final answer
    x = 2,478.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.